Drinfeld–Sokolov–Wilson equation

The Drinfeld–Sokolov–Wilson (DSW) equations are an integrable system of two coupled nonlinear partial differential equations proposed by Vladimir Drinfeld and Vladimir Sokolov, and independently by George Wilson:

$\begin{array}{cc}& \frac{\partial u}{\partial t}+3v\frac{\partial v}{\partial x}=0\\ & \frac{\partial v}{\partial t}=2\frac{{\partial }^{3}v}{\partial x^3}+\frac{\partial u}{\partial x}v+2u\frac{\partial v}{\partial x}\end{array}$

References

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